GCD of 396, 942, 513 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 396, 942, 513 i.e. 3 largest integer that divides all the numbers equally.
GCD of 396, 942, 513 is 3
GCD(396, 942, 513) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 942, 513 is 3
GCD(396, 942, 513) = 3
GCDof 396,942,513 is 3
Given Input numbers are 396, 942, 513
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Greatest Common Divisior
We found the divisors of 396, 942, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 942, 513 is 3.
Therefore, GCD of numbers 396, 942, 513 is 3
Given Input Data is 396, 942, 513
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 513 is 3 x 3 x 3 x 19
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 396, 942, 513 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(396, 942) = 62172
GCD(396, 942) = ( 396 x 942 ) / 62172
GCD(396, 942) = 373032 / 62172
GCD(396, 942) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 513) = 1026
GCD(6, 513) = ( 6 x 513 ) / 1026
GCD(6, 513) = 3078 / 1026
GCD(6, 513) = 3
GCD of 396, 942, 513 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 396, 942, 513
1. What is the GCD of 396, 942, 513?
GCD of 396, 942, 513 is 3
2. Where do I get the detailed procedure to find GCD of 396, 942, 513?
You can find a detailed procedure to find GCD of 396, 942, 513 on our page.
3. How to find GCD of 396, 942, 513 on a calculator?
You can find the GCD of 396, 942, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.